As long as you have that air space around the sides and front of the amp you ought to be ok. Many years ago I put a pair of Krell MDA300 monoblocks INSIDE of a closed (custom built) cabinet that had absolutely no ventilation whatsoever. Couldn't run the system with the doors closed for obvious reasons. Checked the internal temp once with a digital thermometer- 180 degrees! Crazy. Stupid. Then I discovered a company in California, ATM, or Active Thermal Management. Bought a complete ventilation system with attic mounted "hush" fan, ducting, variable speed control, louvered intake vents. All for about $500. Literally lowered the internal cabinet temp. by 80 degrees. Well worth the money. ATM makes many different types and styles of ventilation and/or heat exhaust systems, even "free standing" fan contraptions with sensors. I even have one of their 2 fan setups sitting on top of my DAC blowing fresh air into the vent cutouts on the chassis. Been a while since I did business with them but check them out. I think they still exist. Good luck.
Amp circulation question
Due to a recent accident with my long interconnects I have placed my Classe CA-2200 amp in the bottom shelf of my Billy Bags rack and placed the system center of the speakers. It really sounds great there and looks stunning. Problem might be that there is very little air space between the top of the amp and the next shelf, about 1/2 of an inch. There is no restrictions on the sides, front or back, all is very open. I did put a temp probe on the top and the hottest place I could find measured a max of 104 degrees F. This was after playing for a few hours, metalica, symphony, LP's and SACD's, the most dynamic stuff I could find. The heat sinks on the sides were in the 96 degree range at worst. The amp does have thermal protection shut of but would like others experience with limited top circulation. I do think that the Classe disipates heat well with the side fins so this may be helping. Opinions welcome.